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Finding the Third Proportional to 1,134,075,038 and 1,779,027,490

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Solution

The third proportional to 1,134,075,038 and 1,779,027,490 is: 2,790,766,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134,075,038 : 1,779,027,490 = 1,779,027,490 : x
  2. Step 2: Convert to fraction form
    1,134,075,038/1,779,027,490 = 1,779,027,490/x
  3. Step 3: Cross multiply
    1,134,075,038x = 1,779,027,490 × 1,779,027,490
  4. Step 4: Simplify right side
    1,134,075,038x = 3,164,938,810,175,699,968
  5. Step 5: Solve for x
    x = 3,164,938,810,175,699,968/1,134,075,038
  6. Step 6: Final answer
    x = 2,790,766,663.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.